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» On the Completeness of Propositional Hoare Logic
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TABLEAUX
2009
Springer
15 years 4 months ago
A Schemata Calculus for Propositional Logic
We define a notion of formula schema handling arithmetic parameters, indexed propositional variables (e.g. Pi) and iterated conjunctions/disjunctions (e.g. Vn i=1 Pi, where n is a...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
JSYML
2007
88views more  JSYML 2007»
14 years 9 months ago
The basic intuitionistic logic of proofs
The language of the basic logic of proofs extends the usual propositional language by forming sentences of the sort x is a proof of F for any sentence F. In this paper a complete ...
Sergei N. Artëmov, Rosalie Iemhoff
WOLLIC
2009
Springer
15 years 4 months ago
Sound and Complete Tree-Sequent Calculus for Inquisitive Logic
Abstract. We introduce a tree-sequent calculus for inquisitive logic (Groenendijk 2008) as a special form of labelled deductive system (Gabbay 1996). In particular, we establish th...
Katsuhiko Sano

Book
1569views
16 years 9 months ago
Introduction to Logic
Very well organized and easy to follow book. The table of content can be downloaded from the attachment section below.
Micha l Walicki
76
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TLCA
2009
Springer
15 years 4 months ago
On the Meaning of Logical Completeness
G¨odel’s completeness theorem is concerned with provability, while Girard’s theorem in ludics (as well as full completeness theorems in game semantics) are concerned with proo...
Michele Basaldella, Kazushige Terui